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Finding the Third Proportional to 793.97 and 1,746.56

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Solution

The third proportional to 793.97 and 1,746.56 is: 3,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.97 : 1,746.56 = 1,746.56 : x
  2. Step 2: Convert to fraction form
    793.97/1,746.56 = 1,746.56/x
  3. Step 3: Cross multiply
    793.97x = 1,746.56 × 1,746.56
  4. Step 4: Simplify right side
    793.97x = 3,050,480.57
  5. Step 5: Solve for x
    x = 3,050,480.57/793.97
  6. Step 6: Final answer
    x = 3,842.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.